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Simplifying -6(w + -7) = -54 Reorder the terms: -6(-7 + w) = -54 (-7 * -6 + w * -6) = -54 (42 + -6w) = -54 Solving 42 + -6w = -54 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6w = -54 + -42 Combine like terms: 42 + -42 = 0 0 + -6w = -54 + -42 -6w = -54 + -42 Combine like terms: -54 + -42 = -96 -6w = -96 Divide each side by '-6'. w = 16 Simplifying w = 16
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